Complex dynamics in physical pendulum equation with suspension axis vibrations

Author:

Fu Xiang-ling,Deng Jin,Jing Zhu-jun

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference42 articles.

1. Acosta, J.A., Ortega R., Astofi, A., Sarras, I. A onstructive solution for stabiligation via immersion and invariance: The cart and pendulum system. Automatica, 44(19): 2352–2357 (2008)

2. Alexander, F., Jom, J.T. Non-trivical effects of Right-frequency exitation for strongly damped mechnical systems. Inter. J. of Nonlinear mechanics, 43(7): 569–578 (2008)

3. Anischenko, V.S., Astakhov, V.V., Neiman, A.B., Vadivasova, T.E., Schimansky-Geier, L. Nonlinear dynamics of chaotic and stochastic systems. Springer-Verlag, Berlin, 2002

4. Arnold, V.I. Ordinary differential equations. Springer-Verlag, Berlin, 1992

5. Bishop, S.R., Clifford, M.J. Zones of chaotic behavior in the parametrically exicited pendulum. Journal of sound and vibration, 181(1): 1421–1427 (2006)

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3. Chaos control in a pendulum system with excitations;Discrete & Continuous Dynamical Systems - B;2015

4. Bifurcations of resonant solutions and chaos in physical pendulum equation with suspension axis vibrations;Acta Mathematicae Applicatae Sinica, English Series;2010-09-04

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